This system has eight solutions in general. To find the solutions to this system of equations, we use an automatic solver generator to produce a solver based on the action matrix method [1]}.
The resulting solver involves elimination of a \(47\times 55\)  template, and eigendecomposition of an \(8\times 8\)  matrix. Prior to these steps, we compute the nullspace of \(\mathsf {M}\)  using singular value decomposition (SVD).
